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tester [92]
3 years ago
6

Find the average rate of change of the function f(x)=(1/x-7) as x changes from x=-2 to x=5

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

-\frac{1}{18}

Step-by-step explanation:

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = -2,

f(a) = f(-2) = \frac{1}{(-2) - 7} = \frac{1}{-9} = -⅑

f(a) = -⅑

b = 5

f(b) = f(5) = \frac{1}{(5) - 7} = \frac{1}{-2} = -½

f(b) = -½

Plug in the values into the equation

Average rate of change = \frac{-\frac{1}{2} - (-\frac{1}{9}}{5 -(-2)}

= \frac{\frac{-9 - (-2)}{18}}{7}

= \frac{\frac{-7}{18}}{7}

= \frac{-7}{18} * \frac{1}{7}

= \frac{-1}{18} * \frac{1}{1}

= \frac{-1}{18} * 1

= -\frac{1}{18}

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